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"Two men are talking. One says to the other, 'I have three sons whose ages I want you to ascertain from the following clues. Stop me when
you know their ages.
'1. The sum of their ages is thirteen
'2. The product of their ages is the same as your age.
'3. My oldest son weights sixty-one pounds.'
'Stop,' says the second man. 'I know their ages.'
What are they?"
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Hey guys, the eldest being 61 lbs is of no consequence.
And neither does the age of second man matters except for fact that 6,6,1 and 9,2,2 both have same product and no two other combinations have same product. So I strike out 10,2,1 & 8,4,1 and others because then second man would have known the answer after second hint itself. So after second clue, the only options are 6,6,1 and 9,2,2. Third clue tells us that there is an eldest!!!
.
So ages must be 9,2,2.